revision-invariants-follow-from-shared-foundations
OUT derived (depth 5)
Both revision paths (reactive contradiction resolution and proactive dialectical challenge) preserve system invariants not through path-specific correctness arguments but because they operate through the same minimal primitives — shared foundations guarantee that any revision entry point inherits the same invariant-preserving behavior.
Summary
The reason both ways of changing your mind — fixing contradictions after the fact and proactively challenging assumptions — keep the system consistent is that they both run on the same small set of core operations, so correctness comes for free from the shared foundation rather than needing separate proofs for each path. This claim has lost its support, meaning one or both of its underlying arguments no longer holds.
Justifications
SL — shared primitives make per-path invariant proofs redundant (depth-5 from two depth-4 IN)
Antecedents (all must be IN):
- both-revision-paths-preserve-system-invariants — Both forms of belief modification — reactive contradiction resolution (backtracking to least-entrenched premise, skipping retracted nodes) and proactive dialectical challenge (irreversible premise transformation with inherited outlist semantics) — preserve system invariants despite operating through fundamentally different mechanisms, confirming that invariant preservation is architectural rather than mechanism-specific.
- semantics-and-revision-share-minimal-foundations — Both truth maintenance semantics and belief revision achieve comprehensive coverage through the same minimal primitives — the outlist primitive simultaneously enables emergent truth evaluation (disjunction over conjunction with absence semantics) and all non-monotonic revision mechanisms (defeat, backtracking, dialectics), confirming minimality as a cross-cutting architectural principle rather than a property of any single subsystem.
Dependents
These beliefs depend on this one:
- complete-architecture-preserves-invariants-minimally — The complete reasoning-and-revision architecture preserves all system invariants through shared minimal foundations rather than through independent enforcement mechanisms — both architectural completeness (forward reasoning paired with backward revision) and invariant preservation (reactive contradiction resolution paired with proactive dialectical challenge) flow from the same outlist/disjunction primitives.
- revision-invariants-span-all-origins — Both revision paths (reactive contradiction resolution and proactive dialectical challenge) preserve system invariants across all belief origins — human, LLM, and agent — because invariant preservation flows from shared minimal foundations and all origins share the same deterministic revision engine.